You can use .row to wrap two columns, not .col-md-12 - that's a column encasing another column.
Afterall, .row doesn't have the extra margins and padding that a col-md-12 would bring and also discounts the space that a column would introduce with negative left & right margins.
<div class="container">
<div class="row">
<h2>OntoExplorer<span style="color:#b92429">.</span></h2>
<div class="col-md-4 nopadding">
<div class="widget">
<div class="widget-header">
<h3>Dimensions</h3>
</div>
<div class="widget-content">
</div>
</div>
</div>
<div class="col-md-8 nopadding">
<div class="widget">
<div class="widget-header">
<h3>Results</h3>
</div>
<div class="widget-content">
</div>
</div>
</div>
</div>
</div>
But, if you really want to remove the padding/margins, add a class to filter out the margins/paddings for each child column.
.nopadding {
padding: 0 !important;
margin: 0 !important;
}